A globally convergent variant of mid-point method for finding the matrix sign

DOI10.1007/s40314-018-0654-yzbMath1413.65170OpenAlexW2808472421MaRDI QIDQ1715647

Nahid Zainali, Taher Lotfi

Publication date: 29 January 2019

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-018-0654-y

zbMATH Keywords

global convergenceiterative methodshigh ordermatrix signmid-point method

Mathematics Subject Classification ID

Numerical computation of matrix exponential and similar matrix functions (65F60)

Uses Software

• mftoolbox

Cites Work

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• A general three-step class of optimal iterations for nonlinear equations
• Several improvements of the 2-point third order midpoint iterative method using weight functions
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• Efficient algorithms for generalized algebraic Bernoulli equations based on the matrix sign function
• Algorithms for the matrix \(p\)th root
• Mathematica in Action
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• Using the Matrix Sign Function to Compute Invariant Subspaces
• The matrix sign function
• A Padé family of iterations for the matrix sign function and related problems
• Rational Iterative Methods for the Matrix Sign Function
• Functions of Matrices